32890415511604 has 96 divisors (see below), whose sum is σ = 69806739824640. Its totient is φ = 13236955725312.

The previous prime is 32890415511601. The next prime is 32890415511617. The reversal of 32890415511604 is 40611551409823.

It is a super-2 number, since 2×32890415511604² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32890415511601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389179617 + ... + 389264119.

It is an arithmetic number, because the mean of its divisors is an integer number (727153539840).

Almost surely, 2^{32890415511604} is an apocalyptic number.

32890415511604 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32890415511604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34903369912320).

32890415511604 is an abundant number, since it is smaller than the sum of its proper divisors (36916324313036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32890415511604 is a wasteful number, since it uses less digits than its factorization.

32890415511604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86357 (or 86355 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

The spelling of 32890415511604 in words is "thirty-two trillion, eight hundred ninety billion, four hundred fifteen million, five hundred eleven thousand, six hundred four".